Rational Root Theorem Practice

The Rational Root Theorem states that if a polynomial has rational roots, they can be expressed as the ratio of factors of the constant term and the leading coefficient.

To find possible rational zeros, list all factors of the constant term and the leading coefficient, then form all possible fractions of these factors.

The possible rational zeros are ±1, ±2, ±4, ±8.

No, (x-3) is not a factor.

Synthetic division can be used.

Synthetic division is a simplified form of polynomial long division that is used when dividing by a linear factor.

A zero of a polynomial is a value of x that makes the polynomial equal to zero.

Substitute the number into the polynomial and check if the result is zero.

The possible rational zeros are ±1, ±7, ±1/3, ±7/3.

Finding rational zeros helps in factoring the polynomial and solving equations.